Two condensers, one of capacity C and other of capacity C/2 are connected to a V -volt battery, as shown. The work done in charging fully both the condensers is ?
(a) \( \frac{1}{4} C V^2 \)
(b) \( \frac{3}{4} C V^2 \)
(c) \( \frac{1}{2} C V^2 \)
(d) \( 2 C V^2 \)
Answer : (b) \( \frac{3}{4} C V^2 \)
\( U = \frac{1}{2} C V^2 + \frac{1}{2} \cdot \frac{C}{2} \cdot V^2 = \frac{1}{2} C V^2 + \frac{1}{4} C V^2 = \frac{3}{4} C V^2 \)
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